Second-order symmetric duality in vector optimization involving (K,η)-pseudobonvexity

Abstract

This paper presents new classes generalizations of second-order (K,η)-pseudobonvexity functions, strongly second-order (K,η)-pseudobonvexity functions, and establishes a pair Mond-Weir type duality multiobjective nonlinear programs over these new classes generalizations. The weak duality, strong duality, converse duality, and self-duality theorems are presents under these generalizations functions. Finally, we introduced two nontrivial numerical examples to illustrating results of the weak duality theorem and strong duality theorem.